Solve the problem.
-Suppose that the accompanying table shows the velocity of a car every second for 8 seconds. Use Simpson's Rule to approximate the distance traveled by the car in the 8 seconds. Round your answer to the nearest hundredth if necessary.
$\begin{array}{l|l}
\text { Time (sec) } & \text { Velocity (ft/sec) } \
\hline 0 & 18 \
1 & 19 \
2 & 20 \
3 & 22 \
4 & 21 \
5 & 23 \
6 & 20 \
7 & 18 \
8 & 19
\end{array}$

A) 160.33 ft
B) 120 ft
C) 162.33 ft
D) 161.5 ft

Question

Solve the problem.
-Suppose that the accompanying table shows the velocity of a car every second for 8 seconds. Use Simpson's Rule to approximate the distance traveled by the car in the 8 seconds. Round your answer to the nearest hundredth if necessary.
$\begin{array}{l|l}
\text { Time (sec) } & \text { Velocity (ft/sec) } \
\hline 0 & 18 \
1 & 19 \
2 & 20 \
3 & 22 \
4 & 21 \
5 & 23 \
6 & 20 \
7 & 18 \
8 & 19
\end{array}$

A) 160.33 ft
B) 120 ft
C) 162.33 ft
D) 161.5 ft

Quizplus · Accepted Answer

Using Simpson's Rule with the given data, we have 
\begin{align*}
	ext{Distance} &= \frac{1}{3}(18 + 19 + 4(20) + 22 + 4(21) + 23 + 4(20) + 18 + 19) \
&= 162.33 	ext{ ft (rounded to the nearest hundredth)}.\
\end{align*} 
Therefore, the best choice is C.

Solve the Problem A) 16033 Ft B) 120 Ft C) 162

Solve the Problem A) 16033 Ft
B) 120 Ft
C) 162